The Foreign Secretary says that it is possible to have a credible run-off in the Afghan presidential election that "provides a legitimate expression of the will of the Afghan people".
Speaking on the programme, David Miliband agreed that the security situation in the country and the fact that the first round of voting had taken such a long time "makes life more difficult".
And he said that "line one" of the plan for Afghanistan's future must be "not just a credible government, not just a legitimate government but a government with a coherent programme, a consensus programme" for the country.
The run-off vote between President Hamid Karzai and Dr Abdullah Abdullah will take place on 7 November.
Mr Miliband's comments come after the UN UN Secretary General Ban Ki-moon called for more than half the top officials involved in Afghanistan's election replaced. Mr Ban told the BBC that 200 officials who had been complicit in fraud should go, to ensure a run-off vote due next month was "transparent and credible".
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